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Finding the Fourth Proportional to 212,599, 293,386.62 and 117,105.40

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Solution

The fourth proportional to 212,599, 293,386.62 and 117,105.40 is: 161,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,599 : 293,386.62 = 117,105.40 : x
  2. Step 2: Convert to fraction form
    212,599/293,386.62 = 117,105.40/x
  3. Step 3: Cross multiply
    212,599x = 293,386.62 × 117,105.40
  4. Step 4: Simplify right side
    212,599x = 34,357,157,489.75
  5. Step 5: Solve for x
    x = 34,357,157,489.75/212,599
  6. Step 6: Final answer
    x = 161,605.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.